Question

Решите уравнения х+2корень х-6=6

Answer 1

X + 2 √ ( X - 6) = 6 
2 √ ( X - 6) = 6 - X 
√ 4*( X - 6) = 6 - X 
 4X - 24 = 36 - 12X + X^2 
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4X - 24 > 0 
4X > 24 
X > 6 
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X^2 - 12X - 4X + 36 + 24 = 0 
X^2 - 16X + 60 = 0
D = 256 - 240 = 16 ; √ D = 4
X1 = ( 16 + 4 ) : 2 = 10 
X2 = ( 16 - 4 ) : 2 = 6 
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Ответ Х = 10